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Axiom ax-ac 196
 Description: Defining property of the indefinite descriptor: it selects an element from any type. This is equivalent to global choice in ZF. (Contributed by Mario Carneiro, 10-Oct-2014.)
Assertion
Ref Expression
ax-ac
Distinct variable group:   ,

Detailed syntax breakdown of Axiom ax-ac
StepHypRef Expression
1 kt 8 . 2 term
2 tal 122 . . 3 term
3 hal . . . . 5 type
4 hb 3 . . . . 5 type
53, 4ht 2 . . . 4 type
6 vp . . . 4 var
7 vx . . . . . 6 var
85, 6tv 1 . . . . . . . 8 term
93, 7tv 1 . . . . . . . 8 term
108, 9kc 5 . . . . . . 7 term
11 tat 191 . . . . . . . . 9 term
1211, 8kc 5 . . . . . . . 8 term
138, 12kc 5 . . . . . . 7 term
14 tim 121 . . . . . . 7 term
1510, 13, 14kbr 9 . . . . . 6 term
163, 7, 15kl 6 . . . . 5 term
172, 16kc 5 . . . 4 term
185, 6, 17kl 6 . . 3 term
192, 18kc 5 . 2 term
201, 19wffMMJ2 11 1 wff
 Colors of variables: type var term This axiom is referenced by:  ac  197
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